What is the constant of 2x+3y+6
2 answers:
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Answer:
Mean = 113.72
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Step-by-step explanation:
Data provided in the question:
Data:
82 96 99 102 103 103 106 107 108 108 108 108 109 110 110 111 113 113 113 113 115 115 118 118 119 121 122 122 127 132 136 140 146
Number of data = 33
In the hint it is also given that the sum of the data value i.e ∑x = 3753
Now,
Point estimate of mean is given as;
Mean =
or
⇒ Mean =
or
⇒ Mean = 113.72
Hence,
The estimator of 113.72 is point estimate used for the conceptual population of all first-graders in this school
Answer:
The interval of convergence is:
Step-by-step explanation:
Given
The geometric series centered at c is of the form:
Where:
first term
common ratio
We have to write
In the following form:
So, we have:
Rewrite as:
Factorize
Open bracket
Rewrite as:
Collect like terms
Take LCM
So, we have:
By comparison with:
At c = 6, we have:
Take LCM
r = -\frac{1}{3}(x + \frac{11}{3}+6-6)
So, the power series becomes:
Substitute 1 for a
Substitute the expression for r
Expand
Further expand:
The power series converges when:
Multiply both sides by 3
Expand the absolute inequality
Solve for x
Take LCM
The interval of convergence is: